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Finding the Fourth Proportional to 180,551.09, 249,160.35 and 99,978.61

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Solution

The fourth proportional to 180,551.09, 249,160.35 and 99,978.61 is: 137,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,551.09 : 249,160.35 = 99,978.61 : x
  2. Step 2: Convert to fraction form
    180,551.09/249,160.35 = 99,978.61/x
  3. Step 3: Cross multiply
    180,551.09x = 249,160.35 × 99,978.61
  4. Step 4: Simplify right side
    180,551.09x = 24,910,704,960.22
  5. Step 5: Solve for x
    x = 24,910,704,960.22/180,551.09
  6. Step 6: Final answer
    x = 137,970.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.